MAT 339. Geometric Analysis - Spring 2018 - Vamsi Pingali

The texts we will be following are as follows :
1. Do Carmo, Riemannian Geometry.
2. Griffiths and Harris, Principles of Algebraic Geometry.
3. S. Donaldson, Lecture Notes for TCC Course "Geometric Analysis" .
4. J. Kazdan, Applications of Partial Differential Equations To Problems in Geometry.
5. L. Nicolaescu, Lectures on the Geometry of Manifolds .
6. T. Aubin, Some nonlinear problems in geometry.
7. C. Evans, Partial differential equations.
8. Gilbarg and Trudinger, Elliptic partial differential equations of the second order.
9. G. Szekelyhidi, Extremal Kahler metrics.
10. R.O. Wells, Differential Analysis on Complex Manifolds.
11. Kodaira, Complex Manifolds and Deformation of Complex Structures.

The course description (along with pre-requisites) can be found on this webpage.

Instructor : Vamsi Pritham Pingali, vamsipingali@iisc.ac.in.

Office : N23 in the mathematics building.

Office hours : Wed from 4-5 pm. (Feel free to come during other times after emailing me first.)

Classroom and timings : Tuesday and Thursday from 1:50-3:20 in LH-2 (basement).

The Grading policy : 25% for Homeworks, Midterm-25%, and 50% for the Final. Under NO circumstances will makeup exams be held for the midterm. If you have a valid and provable excuse, (Schedule conflicts with other courses do NOT constitute as valid excuses. You are supposed to resolve them before registering for the courses.) then your performance on the other exams shall determine your grade on your midterms.

Moodle : The grades for your HW, Midterms, and Final will be posted on this webpage


Exams :

The Midterm shall be held on from 1:50-3:20 in the class on 27th Feb 2018 (Tuesday).

The final for this course will be held on April 25 (Wednesday) from 2 PM-5PM in TBA.

Ethics: Read the information on the IISc student ethics page. In short, cheating is a silly thing. Don't do it. As for homeworks, write them up on your own. You are allowed to discuss them amongst yourselves but please write the solutions on your own. That said I must hasten to add that you learn mathematics best when you solve the problems entirely by yourself.

Here is the tentative schedule. (It is subject to changes and hence visiting this webpage regularly is one of the best ideas in the history of best ideas.)